GCD of 12, 648, 189, 613 Calculator

Given Input numbers are 12, 648, 189, 613

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 12, 648, 189, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 648, 189, 613 is 1.

Therefore, GCD of numbers 12, 648, 189, 613 is 1

Given Input Data is 12, 648, 189, 613

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 613 is 613

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 648) = 648

GCD(12, 648) = ( 12 x 648 ) / 648

GCD(12, 648) = 7776 / 648

GCD(12, 648) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 189

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 189) = 756

GCD(12, 189) = ( 12 x 189 ) / 756

GCD(12, 189) = 2268 / 756

GCD(12, 189) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 613

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 613) = 1839

GCD(3, 613) = ( 3 x 613 ) / 1839

GCD(3, 613) = 1839 / 1839

GCD(3, 613) = 1

GCD of 12, 648, 189, 613 is 1

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• GCD of 68, 874, 456, 724
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1. What is the GCD of 12, 648, 189, 613?

GCD of 12, 648, 189, 613 is 1

2. Where do I get the detailed procedure to find GCD of 12, 648, 189, 613?

You can find a detailed procedure to find GCD of 12, 648, 189, 613 on our page.

3. How to find GCD of 12, 648, 189, 613 on a calculator?

You can find the GCD of 12, 648, 189, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.